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Original Articles

New bound characteristics of NARX model in the frequency domain

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Pages 140-149 | Received 21 Apr 2006, Accepted 15 Aug 2006, Published online: 24 Nov 2006

References

  • Bendat , JS . 1990 . Nonlinear System Analysis and Identification from Random Data , New York : Wiley .
  • Billings , SA and Peyton-Jones , JC . 1990 . Mapping nonlinear integro-differential equation into the frequency domain . Int. J. Contr. , 54 : 863 – 879 .
  • Billings , SA and Lang , ZQ . 1996 . A bound of the magnitude characteristics of nonlinear output frequency response functions . Int. J. Contr., Part I , 65 : 309 – 328 . Part 2, 65, pp. 365–384
  • Billings , SA and Lang , ZQ . 1997 . Truncation of nonlinear system expansions in the frequency domain . Int. J. Contr. , 68 : 1019 – 1042 .
  • Chen , S and Billings , SA . 1989 . Representation of non-linear systems: the NARMAX model . Int. J. Contr. , 49 : 1012 – 1032 .
  • Chen , S , Billings , SA , Cowan , CF and Grant , PM . 1999 . Practical identification of NARMAX models using radial basis functions . Int. J. Contr. , 52 : 1327 – 1350 .
  • Chua , LO and Ng , CY . 1979 . Frequency domain analysis of nonlinear systems: general theory . IEE J. Electron. Circu. Syst. , 3 : 165 – 185 .
  • Dzielinski , A . 1999 . BIBO Stability of NARX Models . Proceedings of the 7th Mediterranean Conference on Control and Automation . June 28–30 1999 , Haifa, Israel. pp. 1198 – 1206 . (MED99) .
  • George , DA . 1959 . Continuous nonlinear systems . 1959 , Cambridge. Technical Report 355 , MIT Research Laboratory of Electronics . Mass
  • Jing , XJ , Lang , ZQ and Billings , SA . 2006 . Frequency domain analysis based nonlinear feedback control for suppressing periodic disturbance . The 6th World Congress on Intelligent Control and Automation . June 21–23 2006 , China. pp. 2201 – 2206 . Dalian
  • Lang , ZQ and Billings , SA . 1996 . Output frequency characteristics of nonlinear systems . Int. J. Contr. , 64 : 1049 – 1067 .
  • Lang , ZQ and Billings , SA . 1997 . Output frequencies of nonlinear systems . Int. J. Contr. , 67 : 713 – 730 .
  • Peyton-Jones , JC and Billings , SA . 1989 . Recursive algorithm for computing the frequency response of a class of nonlinear difference equation models . Int. J. Contr. , 50 : 1925 – 1940 .
  • Rugh , WJ . 1981 . Nonlinear System Theory — the Volterra/Wiener Approach , Baltimore and London : The Johns Hopkins University Press .
  • Swain , AK and Billings , SA . 2001 . Generalized frequency response function matrix for MIMO nonlinear systems . Int. J. Contr. , 74 : 829 – 844 .
  • Weisstein , EW . 1999 . “ Cauchy Criterion ” . In MathWorld–A Wolfram Web Resource http://mathworld.wolfram.com/CauchyCriterion.html
  • Zhang , H and Billings , SA . 1996 . Gain bounds of higher order nonlinear transfer functions . Int. J. Contr. , 64 : 767 – 773 .

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